Solve 8.854*3.9*10^-3/9

$$\frac{ 8.854 \times 3.9 \times { 10 }^{ -3 } }{ 9 }$$

Evaluate

$$\frac{57551}{15000000}\approx 0.003836733$$

Solution Steps

Multiply 8.854 and 3.9 to get 34.5306.

$$\frac{34.5306\times 10^{-3}}{9}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{34.5306\times \frac{1}{1000}}{9}$$

Multiply 34.5306 and \frac{1}{1000} to get \frac{172653}{5000000}.

$$\frac{\frac{172653}{5000000}}{9}$$

Express \frac{\frac{172653}{5000000}}{9} as a single fraction.

$$\frac{172653}{5000000\times 9}$$

Multiply 5000000 and 9 to get 45000000.

$$\frac{172653}{45000000}$$

Reduce the fraction \frac{172653}{45000000} to lowest terms by extracting and canceling out 3.

$$\frac{57551}{15000000}$$

Factor

$$\frac{13 \cdot 19 \cdot 233}{3 \cdot 2 ^ {6} \cdot 5 ^ {7}} = 0.0038367333333333333$$